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Finding the Fourth Proportional to 294,505.80, 406,407.20 and 179,976.11

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Solution

The fourth proportional to 294,505.80, 406,407.20 and 179,976.11 is: 248,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,505.80 : 406,407.20 = 179,976.11 : x
  2. Step 2: Convert to fraction form
    294,505.80/406,407.20 = 179,976.11/x
  3. Step 3: Cross multiply
    294,505.80x = 406,407.20 × 179,976.11
  4. Step 4: Simplify right side
    294,505.80x = 73,143,584,000.08
  5. Step 5: Solve for x
    x = 73,143,584,000.08/294,505.80
  6. Step 6: Final answer
    x = 248,360.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.